Can Logarithmic Functions Be Zero or Negative?

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Logarithmic functions cannot be zero or negative, as their domain is restricted to positive values. The function y = b^n has a range of positive real numbers, which means that log(b)n is defined only for n > 0. When attempting to calculate log(0) or ln(0), a mathematical error occurs, confirming that the logarithm of zero is undefined. Therefore, the domain of log(b)n is x > 0, ensuring that the input for the logarithm remains positive. Understanding these properties is essential for grasping the behavior of logarithmic functions.
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I'm only in gr.11 right now, and I was looking at a gr.12 textbook, since this isn't really homework I decided to post this here, is that ok or is this the wrong board?

Well anyway, it asked what the range of of the function y = b ^ n would be (and the domain) and also if log(b) n could ever be negative or 0.

Could someone please help?
 
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Err, a correction quickly, it asks the range of y = b^ n and what that means for the domain of log(b) n, it still asks if log(b) n can ever be 0 or negative though.
 
Oh and an explained answer(not just a one word one) is hoped for.
 
Byrgg said:
Err, a correction quickly, it asks the range of y = b^ n and what that means for the domain of log(b) n, it still asks if log(b) n can ever be 0 or negative though.
ur question is really confusing I am doing yr 12 and started log about 2 weeks ago. but i can giv u some infos . it may not b correct lol.
if u type in calculator log0 or ln0 u get an MA error. so yeh the domain is x>0
 
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